Least Common Multiple of 135/975, 4917/5260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/975, 4917/5260 quickly i.e. 44253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/975, 4917/5260 is 44253.

LCM(135/975, 4917/5260) = 44253

LCM of 135/975, 4917/5260

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 135/975,4917/5260

Given numbers are 135/975,4917/5260

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 135,4917

Least Common Multiple of Numerators i.e. LCM of 135,4917 is 221265.

GCF of Denominators means GCF of 975,5260 as per the given fractions.

GCF of 975,5260 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,4917

LCM of Fractions 135/975,4917/5260 is 44253

3 135, 4917
45, 1639

∴ So the LCM of the given numbers is 3 x 45 x 1639 = 221265

Least Common Multiple of 135,4917 with GCF Formula

Least Common Multiple of 135,4917 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 135,4917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,4917) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(135,4917) x common factors =3 x 1 = 3

LCM(135,4917) = ( 135 × 4917 ) / 3

LCM(135,4917) = 663795 / 3

LCM(135,4917) = 221265


Lets's calculate GCF of 975,5260

5 975, 5260
195, 1052

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221265/5

Therefore the LCM of Fractions 135/975,4917/5260 is 44253

Greatest Common Factor of 975,5260 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,5260 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Greatest Common Factor

We found the factors 975,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 975,5260 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 135/975, 4917/5260

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 135/975, 4917/5260?

Answer: LCM of Numerators as per given numbers 135/975, 4917/5260 is

LCM of Numerators i.e. for 135,4917 is 221265

GCF of denominators i.e. for 975,5260 is 5.

Thus, LCM of Fractions is 44253.Finally, LCM of Fractions for 135/975, 4917/5260 is 44253.